solving compound inequality
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The number of senior citizens (65 and older) in the US in millions n years after 1990 can be estimated using the formula
s=0.38n+31.2
The percentage of senior citizens living below the poverty level n years after 1990 can be estimated using the formula
p= -0.25n+12.2
a) How many senior citizens were there in 2000?
b) In what year will the percentage of seniors living below the poverty level reach 7%
c) What is the first year in which we can expect both the number of seniors to be greater than 40 million and fewer than 7% living below the poverty level?
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Solution Summary
The solution shows how to set up and solve the compound inequality for a word problem regarding the seniors and the poverty.
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a) n = 2000 - 1990 = 10
so 10 years after 1990 in 2000, the number of senior citizens is
s = 0.38 * 10 + 31.2 = 35 millions.
b) p = 7
-0.25n + 12.2 = ...
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